The larger of two complementary angles is 6 degrees less than 7 times the smaller. Find the measure of the smaller angle.

Mathematics · High School · Mon Jan 18 2021

Answered on

Let the smaller angle ve x

Then, larger angle is 7x - 6

We know that sum of complementary angles is 90°

So, x + 7x - 6 = 90

8x - 6 = 90

8x = 90 + 6

8x = 96

x = 96/8

x = 12°

 

Thus, the smaller angle is 12°

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